English

Rogers's proof of Vaaler's theorem

Metric Geometry 2026-03-09 v3

Abstract

We note that an argument by Rogers (1958) gives a proof of Vaaler's theorem (1979) about sections of the cube and allows certain generalizations of the theorem.

Keywords

Cite

@article{arxiv.2505.16247,
  title  = {Rogers's proof of Vaaler's theorem},
  author = {Roman Karasev},
  journal= {arXiv preprint arXiv:2505.16247},
  year   = {2026}
}